Same thing happened to me last fall. One day he showed up and stuck around for about a month. Neighbors had said he was on other properties for a while before that. I caved in and bought him a waterer and food. Every night I walked him across the road so he could roost in the trees. Then I constsntly checked on him. Tried catching him to no avail, he avoided a live trap too. Finally he seemed to disappear. I was sure he was killed. Then one day my neighbor across the street informed me the rooster decided to hop the fence and make his home with the one female the had left. He made himself right at home and has never left.